{
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# DeepONet Tutorial in JAX\n",
    "\n",
    "A DeepONet is a deep learning architecture to evaluate a *nonlinear operator*\n",
    "applied to a discretized input field/function at an arbitrary query point. This\n",
    "can, for instance, be used to learn solutions to a family of parametric PDEs\n",
    "which can then be queried at arbitrary points in space (and time).\n",
    "\n",
    "Examples of operator mappings:\n",
    "\n",
    "* From initial condition to solution field at a later time\n",
    "* From the parameter field (e.g. space-dependent diffusion coefficient) to the\n",
    "  solution field\n",
    "\n",
    "The DeepONet does not return the full output field, but allows us to query it at\n",
    "arbitrary points.\n",
    "\n",
    "Following the tutorial of\n",
    "[DeepXDE](https://deepxde.readthedocs.io/en/latest/demos/operator/antiderivative_aligned.html),\n",
    "this video is concered with **learning the 1d antiderivative operator**, defined by the ODE\n",
    "\n",
    "$$\n",
    "\\begin{cases}\n",
    "\\frac{d v}{d x} &= u(x) \\quad & x \\in [0, 1]\n",
    "\\\\\n",
    "v(0) &= 0\n",
    "\\end{cases}\n",
    "$$\n",
    "\n",
    "For this, we discretize the domain $\\Omega = [0, 1]$ into $m=100$ degrees of\n",
    "freedom at which we evaluate $u(x)$. Then, the DeepONet $G_\\theta$ takes this\n",
    "$100$-dimensional vector and a one-dimensional query coordinate to evaluate\n",
    "$v(x)$ at this query point.\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "G_\\theta : \\R^m \\times \\R^1 \\mapsto \\R\n",
    "\\end{aligned}\n",
    "$$"
   ]
  },
  {
   "attachments": {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![Untitled.png](attachment:Untitled.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Branch net** and **Trunk net** are multi-layer perceptrons (MLPs), oftentimes with similar architectures.\n",
    "\n",
    "The query coordinates do not have to coincide with the coordinates of the\n",
    "degrees of freedom. For the training of the network, however, we will assume\n",
    "this. In the terminology of DeepONet and the DeepXDE library, this is called an\n",
    "**aligned dataset**.\n",
    "\n",
    "**JAX-related notes**:\n",
    "\n",
    "Contrary to PyTorch and TensorFlow, we will follow the\n",
    "[Equinox](https://github.com/patrick-kidger/equinox) convention in that **the\n",
    "network design is single batch**. Additionaly, it shall take the branch inputs and the trunk\n",
    "inputs as two separate arguments. Then, we can:\n",
    "\n",
    "* Vectorize over multiple query points using `jax.vmap(..., in_axes=(None, 0))`\n",
    "    to get a mapping $\\R^m \\times \\R^{q \\times 1} \\mapsto \\R^q$\n",
    "* Vectorize over multiple batches (evaluated at the same query point) using\n",
    "    `jax.vmap(..., in_axes=(0, None))` to get a mapping $\\R^{N \\times m} \\times\n",
    "    \\R \\mapsto \\R^N$\n",
    "* Vectorize over both multiple batches and multiple query points using\n",
    "    `jax.vmap(jax.vmap(..., in_axes=(None, 0)), in_axes=(0, None))` to get a\n",
    "    mapping $\\R^{N \\times m} \\times \\R^{q \\times 1} \\mapsto \\R^{N \\times q}$ (which we\n",
    "    will use during training)\n",
    "\n",
    "**Training the DeepONet**\n",
    "\n",
    "Given a dataset of $N$ samples with branch inputs $\\R^{N \\times m}$, trunk\n",
    "inputs $\\R^{q \\times 1}$ and corresponding outputs $\\R^{N \\times q}$ we compute the loss\n",
    "as a **mean squared error**. For simplicity, we will use **full-batch training**\n",
    "(no stochastic minibatching). Everything else, is the classical deep learning\n",
    "pipeline."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import jax\n",
    "import jax.numpy as jnp\n",
    "import jax.random as jr\n",
    "import equinox as eqx\n",
    "import optax\n",
    "import matplotlib.pyplot as plt\n",
    "from tqdm.autonotebook import tqdm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--2024-03-16 13:15:01--  https://github.com/mroberto166/CAMLab-DLSCTutorials/raw/main/antiderivative_aligned_train.npz\n",
      "Loaded CA certificate '/etc/ssl/certs/ca-certificates.crt'\n",
      "Resolving github.com (github.com)... 140.82.121.3\n",
      "Connecting to github.com (github.com)|140.82.121.3|:443... connected.\n",
      "HTTP request sent, awaiting response... 302 Found\n",
      "Location: https://raw.githubusercontent.com/mroberto166/CAMLab-DLSCTutorials/main/antiderivative_aligned_train.npz [following]\n",
      "--2024-03-16 13:15:01--  https://raw.githubusercontent.com/mroberto166/CAMLab-DLSCTutorials/main/antiderivative_aligned_train.npz\n",
      "Resolving raw.githubusercontent.com (raw.githubusercontent.com)... 185.199.110.133, 185.199.108.133, 185.199.111.133, ...\n",
      "Connecting to raw.githubusercontent.com (raw.githubusercontent.com)|185.199.110.133|:443... connected.\n",
      "HTTP request sent, awaiting response... 200 OK\n",
      "Length: 241573 (236K) [application/octet-stream]\n",
      "Saving to: ‘antiderivative_aligned_train.npz’\n",
      "\n",
      "antiderivative_alig 100%[===================>] 235.91K  --.-KB/s    in 0.1s    \n",
      "\n",
      "2024-03-16 13:15:02 (2.40 MB/s) - ‘antiderivative_aligned_train.npz’ saved [241573/241573]\n",
      "\n",
      "--2024-03-16 13:15:02--  https://github.com/mroberto166/CAMLab-DLSCTutorials/raw/main/antiderivative_aligned_test.npz\n",
      "Loaded CA certificate '/etc/ssl/certs/ca-certificates.crt'\n",
      "Resolving github.com (github.com)... 140.82.121.3\n",
      "Connecting to github.com (github.com)|140.82.121.3|:443... connected.\n",
      "HTTP request sent, awaiting response... 302 Found\n",
      "Location: https://raw.githubusercontent.com/mroberto166/CAMLab-DLSCTutorials/main/antiderivative_aligned_test.npz [following]\n",
      "--2024-03-16 13:15:03--  https://raw.githubusercontent.com/mroberto166/CAMLab-DLSCTutorials/main/antiderivative_aligned_test.npz\n",
      "Resolving raw.githubusercontent.com (raw.githubusercontent.com)... 185.199.110.133, 185.199.108.133, 185.199.111.133, ...\n",
      "Connecting to raw.githubusercontent.com (raw.githubusercontent.com)|185.199.110.133|:443... connected.\n",
      "HTTP request sent, awaiting response... 200 OK\n",
      "Length: 1601574 (1.5M) [application/octet-stream]\n",
      "Saving to: ‘antiderivative_aligned_test.npz’\n",
      "\n",
      "antiderivative_alig 100%[===================>]   1.53M  3.26MB/s    in 0.5s    \n",
      "\n",
      "2024-03-16 13:15:04 (3.26 MB/s) - ‘antiderivative_aligned_test.npz’ saved [1601574/1601574]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# The dataset is curtesy of the DeepXDE library (Lu et al.), was used in a\n",
    "# tutorial similar in scope to this notebook\n",
    "# https://deepxde.readthedocs.io/en/latest/demos/operator/antiderivative_aligned.html\n",
    "# Download from a github repository of ETH Zurich's course on \"Deep Learning in\n",
    "# Scienfitic Computing\"\n",
    "!wget https://github.com/mroberto166/CAMLab-DLSCTutorials/raw/main/antiderivative_aligned_train.npz\n",
    "!wget https://github.com/mroberto166/CAMLab-DLSCTutorials/raw/main/antiderivative_aligned_test.npz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "dataset_train = jnp.load(\"antiderivative_aligned_train.npz\", allow_pickle=True)\n",
    "branch_inputs_train = dataset_train[\"X\"][0]\n",
    "trunk_inputs_train = dataset_train[\"X\"][1]\n",
    "outputs_train = dataset_train[\"y\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((150, 100), (100, 1), (150, 100))"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "branch_inputs_train.shape, trunk_inputs_train.shape, outputs_train.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "dataset_test = jnp.load(\"antiderivative_aligned_test.npz\", allow_pickle=True)\n",
    "branch_inputs_test = dataset_test[\"X\"][0]\n",
    "trunk_inputs_test = dataset_test[\"X\"][1]\n",
    "outputs_test = dataset_test[\"y\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((1000, 100), (100, 1), (1000, 100))"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "branch_inputs_test.shape, trunk_inputs_test.shape, outputs_test.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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X7KwiImWlevXqBAcHM2nSJOLj4/n555+JiYkp1jEiIyPJyMhgyZIlJCcnn/PyQ8+ePWncuDHDhg1jw4YNLFu2jGeeeabQPkOGDCEkJISbbrqJZcuWsXfvXpYuXcp//vMfDh06VOz3NnjwYCZOnEhsbGyhSzRFec81a9bE29ubhQsXkpSURGpq6nnPM2TIEObPn8+UKVMKnQdgzJgxfPHFF4wbN44tW7awbds2ZsyYwbPPPlvs91McCiOl4J7uUXSqH0Rmbj6PfhNHvkOL6YmIlAWr1cqMGTNYu3YtLVu25JFHHuH1118v1jG6du3K/fffz6BBg6hRowavvfbaOc8zZ84cTp06RadOnbjnnnvOuqPEx8eH3377jbp163LLLbfQrFkz7r77brKzs0vUUzJkyBC2bt1K7dq16datW7Hes5ubG++99x4ff/wx4eHh3HTTTec9z9VXX01QUBA7duxg8ODBhb7Xp08ffvjhBxYvXkzHjh257LLLePvtt6lXr16x309xWIwKsAxtWloaAQEBpKamXnJX2N/Z7XYWLFhA3759C11fLImDKVlc9+4yMnLyePLapjxwVYNSqrLiK812lgtTW7tGZWjn7Oxs9u7dS/369ct0LMClcDgcpKWl4e/vXzDAUkrfpbbzhT5LRf35rb/dUhIR5MOYfs0BeCt2B1uPpJlckYiISMWgMFKKBrSvQ6/modjzDWK+jiMn78IDiURERERhpFRZLBbG39KKEF8Ptiem89binWaXJCIiUu4pjJSyEF9Pxt/inGxn0rI9/LHnuMkViYiIlG8KI2WgV/NQBnaog2HAY7M2kJGjxfRERETOR2GkjDx3Q3NqB3pzMOUUL83fanY5IiLnVAFuqJRyrjQ+QwojZcTPy503BkQDMH31QX7ZXvQ1EUREytqZW5LLcr0RqRrOfIYu5TZ3TQdfhro0COZf3eozZcVenvx2I4sevoLq1c6/WJKIiKvYbDYCAwMLFo/z8fEpd2trORwOcnNzyc7O1jwjZaik7WwYBllZWRw9epTAwEBsNluJa1AYKWNPXNuEX3ceZfexTJ6bt5kPBrczuyQREYCCpeaLs5qtKxmGwalTp/D29i53QakyudR2DgwMLPgslZTCSBnzcrfx1sA23PLRSn7YmEDvFke4MTr84i8UESljFouFWrVqUbNmTex2u9nlnMVut/Pbb79xxRVXVNiZbiuCS2lnd3f3S+oROaPYYeS3337j9ddfZ+3atSQkJDBnzhz69+9/wdcsXbqUmJgYtmzZQkREBM8++yx33XVXCUuueKIjAhnZoyHvLdnFmHmbuax+EDX9y+f0yyJS9dhstlL5gVLabDYbeXl5eHl5KYyUofLQzsW+CJeZmUl0dDQTJkwo0v579+7l+uuvp0ePHsTFxfHwww9zzz33sGjRomIXW5H9++qGtAj352SWndGzN2kEu4iIyGnF7hm57rrruO6664q8/8SJE6lfvz5vvvkmAM2aNWP58uW8/fbb9OnTp7inr7DcbVbeGtiGfu8vZ8n2o8xae4gBHSLMLktERMR0ZT5mZNWqVfTs2bPQtj59+vDwww+f9zU5OTnk5OQUPE9Lcy46Z7fbS/W65pljuepaaVSwFw9d04DXF+9i3Pdb6VQvgPBAb5ec20yubueqTG3tGmpn11A7u0ZZtnNRj1nmYSQxMZHQ0NBC20JDQ0lLSysYvftP48ePZ9y4cWdtX7x4MT4+PqVeY2xsbKkf83zCDYj0tbEvI48Rn/zKg80cVJVB4q5s56pObe0aamfXUDu7Rlm0c1HnsSmXd9OMHj2amJiYgudpaWlERETQu3dv/P39S+08drud2NhYevXq5dJBOy06Z3Ljh6vYmQona7RgSKfKfbnGrHauitTWrqF2dg21s2uUZTufubJxMWUeRsLCwkhKSiq0LSkpCX9//3P2igB4enri6el51nZ3d/cy+UCW1XHPp3GtQJ66tinPf7+VVxfupEfTUOoFV3PZ+c3i6nauytTWrqF2dg21s2uURTsX9XhlPqVdly5dWLJkSaFtsbGxdOnSpaxPXa7d2SWSLlHBnLLn8/g3G3E4dHeNiIhUTcUOIxkZGcTFxREXFwc4b92Ni4vjwIEDgPMSy5133lmw//3338+ePXt44okn2L59Ox9++CFff/01jzzySOm8gwrKarXw2m2tqeZhY/W+FD5buc/skkRERExR7DCyZs0a2rZtS9u2bQGIiYmhbdu2jBkzBoCEhISCYAJQv3595s+fT2xsLNHR0bz55pt88sknVeq23vOJCPLhmeubA/Dawu3sOZZhckUiIiKuV+wxI1ddddUFJ+yaOnXqOV+zfv364p6qSrijUwQ/bk5g2a5kHvtmA9/c3xWbtYrcXiMiIoILxozIhVksFl69tTV+nm6sO3CST5btMbskERERl1IYKQfCA715rp/zcs2bsTvZlZRuckUiIiKuozBSTgxoX4ceTWqQm+fg0W82kJfvMLskERERl1AYKScsFguv3Noafy83Nh5K5ePfdLlGRESqBoWRciTU34ux/VoA8O5Pu9iRqMs1IiJS+SmMlDO3tKvNNU1rkpvv4PFZulwjIiKVn8JIOWOxWHj5lla6XCMiIlWGwkg59PfLNe/8tFOXa0REpFJTGCmnzlyusecbPPbNBuy6XCMiIpWUwkg59ffLNZsOpzJJl2tERKSSUhgpx0L9vXj+Rl2uERGRyk1hpJy7ue1fl2t0d42IiFRGCiPl3D/vrpmktWtERKSSURipAEL9vRhz5u6a2F1au0ZERCoVhZEK4tZ2tbn69GRoj83aqMs1IiJSaSiMVBAWi4WXb26Fn5cbGw6eZPKyvWaXJCIiUioURiqQsAAvxtzQHIC3f9pJ/NEMkysSERG5dAojFcxt7etwVZMa5OY5167JdxhmlyQiInJJFEYqmDOXa3w93Vh/4CSfrdDlGhERqdgURiqg8EBvnrm+GQCvL9rB3uRMkysSEREpOYWRCur2jhFc3jCEnDwHT87aiEOXa0REpIJSGKmgLBYL429phY+HjdX7Uvjf7/vNLklERKREFEYqsIggH0Zf1xSAVxdu58DxLJMrEhERKT6FkQpuSOd6XBYVRFZuPk/N3ohh6HKNiIhULAojFZzVauHVW1vj5W5l5e7jTF990OySREREikVhpBKoF1yNx/s4L9e8vGAbR06eMrkiERGRolMYqSTu6hpJu7qBZOTk8fScTbpcIyIiFYbCSCVhs1p47bZoPNysLN1xjNnrDptdkoiISJEojFQiDWv68nDPRgCM+34LR9OyTa5IRETk4hRGKpl7u0fRqnYAadl5PDt3sy7XiIhIuacwUsm42ay8dltr3KwWFm9NYv6mBLNLEhERuSCFkUqoWS1/RvZoCMDYeVtIycw1uSIREZHzUxippEb2aEiTUD+OZ+Yy7vstZpcjIiJyXgojlZSHm/NyjdUC8+KOELs1yeySREREzklhpBKLjghkRPcoAJ6Zs4nUU3aTKxIRETmbwkgl90ivxtQPqcbR9Bxenr/N7HJERETOojBSyXm523jtttZYLDBzzUGW7TpmdkkiIiKFKIxUAR0jg7jzsnoAPPXtJjJz8kyuSERE5C8KI1XEE9c2pXagN4dPnuL1RTvMLkdERKSAwkgVUc3TjfG3tALg81X7WLMvxeSKREREnBRGqpArGtdgQPs6GAY88e1Gsu35ZpckIiKiMFLVPHt9c2r4ebLnWCbvLtlldjkiIiIKI1VNgI87/+3fEoBJv+1h8+FUkysSEZGqTmGkCurTIozrW9ci32Hw+KyN2PMdZpckIiJVmMJIFTXuxhZU93FnW0IaE5fuNrscERGpwhRGqqgQX0/G9msBwPs/x7MrKd3kikREpKpSGKnCbmoTztVNa5Kb7+CJbzeS7zDMLklERKqgEoWRCRMmEBkZiZeXF507d2b16tUX3P+dd96hSZMmeHt7ExERwSOPPEJ2dnaJCpbSY7FYeOnmlvh6urH+wEmmrtxndkkiIlIFFTuMzJw5k5iYGMaOHcu6deuIjo6mT58+HD169Jz7T5s2jaeeeoqxY8eybds2Pv30U2bOnMnTTz99ycXLpasV4M3ovk0BeGPRDg4czzK5IhERqWqKHUbeeustRowYwfDhw2nevDkTJ07Ex8eHKVOmnHP/lStX0q1bNwYPHkxkZCS9e/fmjjvuuGhvirjOHR3rcllUEKfs+Tw1eyOGocs1IiLiOsUKI7m5uaxdu5aePXv+dQCrlZ49e7Jq1apzvqZr166sXbu2IHzs2bOHBQsW0Ldv30soW0qT1Wrh1Vtb4+VuZeXu48z486DZJYmISBXiVpydk5OTyc/PJzQ0tND20NBQtm/ffs7XDB48mOTkZC6//HIMwyAvL4/777//gpdpcnJyyMnJKXielpYGgN1ux263F6fkCzpzrNI8ZkUV7u/BI9c0ZPzCnbw0fxuXN6hOmL9XqRxb7ew6amvXUDu7htrZNcqynYt6zGKFkZJYunQpL7/8Mh9++CGdO3cmPj6ehx56iBdffJHnnnvunK8ZP34848aNO2v74sWL8fHxKfUaY2NjS/2YFVFNA+r52tifkccDnyzlniYOLJbSO77a2XXU1q6hdnYNtbNrlEU7Z2UVbRyixSjGAIHc3Fx8fHyYNWsW/fv3L9g+bNgwTp48ybx58856Tffu3bnssst4/fXXC7Z9+eWX3HvvvWRkZGC1nn2l6Fw9IxERESQnJ+Pv71/Uci/KbrcTGxtLr169cHd3L7XjVmQ7k9Lp/9Hv2PMN3h7Qihta17rkY6qdXUdt7RpqZ9dQO7tGWbZzWloaISEhpKamXvDnd7F6Rjw8PGjfvj1LliwpCCMOh4MlS5YwatSoc74mKyvrrMBhs9kAzjtQ0tPTE09Pz7O2u7u7l8kHsqyOWxG1qBPEyB4NeeenXby4YAdXNg0jqJpHqRxb7ew6amvXUDu7htrZNcqinYt6vGLfTRMTE8PkyZP5/PPP2bZtGw888ACZmZkMHz4cgDvvvJPRo0cX7N+vXz8++ugjZsyYwd69e4mNjeW5556jX79+BaFEypcHr2pIk1A/UjJzGff9FrPLERGRSq7YY0YGDRrEsWPHGDNmDImJibRp04aFCxcWDGo9cOBAoZ6QZ599FovFwrPPPsvhw4epUaMG/fr146WXXiq9dyGlysPNymu3tebmD1cwL+4IN0aHc02z0Iu/UEREpARKNIB11KhR570ss3Tp0sIncHNj7NixjB07tiSnEpNERwRyT/coJv22h2fmbKZj/SD8vdRNKiIipU9r08h5PdKzMZHBPiSmZfPKj+e+dVtERORSKYzIeXl72Bh/S2sApv1xgFW7j5tckYiIVEYKI3JBXRoEM7hzXQCemr2RU7n5JlckIiKVjcKIXNTo65pSK8CL/cezeCt2h9nliIhIKZqyYh8LDlpJPWXeTLcKI3JRfl7uvHRzSwA+Xb6XuIMnzS1IRERKRVq2nQlL97DokJXl8eZdilcYkSK5umko/duE4zDgyVkbyc1zmF2SiIhcoqkr9pGWnUeot8G1LcybwkFhRIpsTL8WBFfzYEdSOhN+iTe7HBERuQTp2XY+Xb4XgD51HNispbgYWTEpjEiRBVXz4PkbWwDw4dJ4tiemmVyRiIiU1Ocr95F6yk5USDXaBhd5mboyoTAixXJD61r0ah6KPd/gyVkbycvX5RoRkYomPdvOJ6d7RUZeFYWJnSKAwogUk8Vi4b/9W+Ln5caGQ6l8tmKf2SWJiEgxfbFqPyez7ETVqMb1rcLMLkdhRIov1N+LZ69vBsAbi3ewLznT5IpERKSoMnLymLxsDwD/vrqhqWNFzlAYkRIZ2CGCbg2Dyclz8OS3G3E4zL3eKCIiRfPFqn2czLJTP6Qa/VqHm10OoDAiJWSxWHjlltZ4u9v4Y28K0/88YHZJIiJyEZk5eUz+zdkrMqpHQ9xs5SMGlI8qpEKKCPLh8T5NABi/YDtHTp4yuSIREbmQL1bt50SWnchgH25qUz56RUBhRC7RsK6RtKsbSEZOHs/M2YRh6HKNiEh5lJGTx6TfdgMw6upG5aZXBBRG5BLZrBZeu601HjYrv+w4xty4w2aXJCIi5/D5yn2cOD1WpH856hUBhREpBQ1r+vGfaxoCMO77rRxLzzG5IhER+bv0bHvBHTT/uab8jBU5o3xVIxXWfVc2oHktf05m2Xn+uy1mlyMiIn/z+cp9BfOK3Bhd2+xyzqIwIqXC3WbltdtaY7NamL8pgYWbE80uSUREcK7MO3mZc7bVh65pVC7mFfknhREpNS1rB3DfFVEAPDdvM6lZdpMrEhGRqSuca9A0rOnLDeVkXpF/UhiRUvWfaxrRoEY1jqXn8OL8rWaXIyJSpaWesvNJwViR8tkrAgojUsq83G28dltrLBaYtfYQv+48ZnZJIiJV1mcr9pKWnUejmr5c36qW2eWcl8KIlLr29YIY1iUSgKdnbyIjJ8/cgkREqqDULDufnl6Z96Ge5bdXBBRGpIw83qcJdap7c/jkKd5YvMvsckREqpzJy/aQnp1Hk1A/+rYsv70ioDAiZaSapxuv3toagK9WHyQ+zeSCRESqkJTMXD5b4ewVeaRXY6zluFcEFEakDHVrGMLtHSMAmL7bxqncfJMrEhGpGj7+dTeZufm0rO1PnxahZpdzUQojUqaevr4Zof6eJGdbePfneLPLERGp9I6mZ/P5qn0APNqrCRZL+e4VAYURKWP+Xu68cGNzAD5buZ+4gyfNLUhEpJL78JfdZNsdtK0byFVNaphdTpEojEiZu7pJDdqHOHAY8MSsDeTk6XKNiEhZSEg9xbQ/DgAVp1cEFEbERW6NdBBczYOdSRlM0OUaEZEy8cHP8eTmO+hUP4huDYPNLqfIFEbEJaq5w9gbmgLw4dLdbDmSanJFIiKVy8GULL5ecxCAR3s1rjC9IqAwIi50XcswrmsZRp7D4IlZG7HnO8wuSUSk0nhvyS7s+QaXNwyhc1TF6RUBhRFxsRduakmgjztbjqQx6bc9ZpcjIlIpxB/N4Nt1hwCI6d3Y5GqKT2FEXKqGnyfP92sBwLs/7WJXUrrJFYmIVHxv/7QThwE9m4XSrm51s8spNoURcbmb2oRzTdOa5OY7eHzWRvIdhtkliYhUWFuOpDJ/YwIWCzxaAXtFQGFETGCxWHjp5lb4ebkRd/Akny7X5RoRkZJ6c/FOAPq1DqdZLX+TqykZhRExRViAF89d75wM7c3FO9lzLMPkikREKp61+0/w8/aj2KwWHulVMXtFQGFETDSgQx26NwohJ8/BE7pcIyJSLIZh8Pqi7QDc1q4O9UOqmVxRySmMiGksFguv3Nqaah421uw/wecr95ldkohIhbEi/ji/70nBw2blPz0bmV3OJVEYEVPVDvRmdN9mALy2aDv7j2eaXJGISPlnGAZvLN4BwODOdakd6G1yRZdGYURMN7hTXbpEBZNtd16ucehyjYjIBS3emkTcwZN4u9sY2aOh2eVcMoURMZ3VauHVW1vj7W7jj70pfPnHfrNLEhEpt/IdBm8scvaK3H15fWr4eZpc0aVTGJFyoW6wD09e2wSAV37czsGULJMrEhEpn+asP8yuoxkEeLsz4ooos8spFQojUm7c2SWSTpFBZOXm63KNiMg55OTl83asc16RB69qQIC3u8kVlQ6FESk3rFYLr93WGi93K6v2HGfa6gNmlyQiUq589fsBDp88Rai/J8O6RppdTqlRGJFyJTKkGk/0aQrA+AXbOHRCl2tERAAycvL44Jd4AB7u2Rgvd5vJFZUehREpd+7qGknHyOpk5ubz1LebMAxdrhER+WTZHlIyc4kKqcaA9nXMLqdUKYxIueO8XBONp5uV5fHJzPjzoNkliYiY6nhGDp8s2wtATO/GuNkq14/vEr2bCRMmEBkZiZeXF507d2b16tUX3P/kyZOMHDmSWrVq4enpSePGjVmwYEGJCpaqoX5INR7v47y75qX52zh88pTJFYmImGfCL7vJyMmjZW1/+rasZXY5pa7YYWTmzJnExMQwduxY1q1bR3R0NH369OHo0aPn3D83N5devXqxb98+Zs2axY4dO5g8eTK1a9e+5OKlchverT7t61UnIyePJ2dt1OUaEamSDqZk8eXvzvmXnujTFKvVYnJFpa/YYeStt95ixIgRDB8+nObNmzNx4kR8fHyYMmXKOfefMmUKKSkpzJ07l27duhEZGcmVV15JdHT0JRcvlZvNauH121oXXK7R3TUiUhW9FbuT3HwHlzcM4YrGNcwup0y4FWfn3Nxc1q5dy+jRowu2Wa1WevbsyapVq875mu+++44uXbowcuRI5s2bR40aNRg8eDBPPvkkNtu5RwLn5OSQk5NT8DwtLQ0Au92O3W4vTskXdOZYpXlMOdultHNEoCeP9mrEyz/u4OX52+havzp1qlfsNRjKkj7TrqF2dg21M2xNSGNu3GEAHu3ZsEzaoizbuajHLFYYSU5OJj8/n9DQ0ELbQ0ND2b59+zlfs2fPHn7++WeGDBnCggULiI+P58EHH8RutzN27Nhzvmb8+PGMGzfurO2LFy/Gx8enOCUXSWxsbKkfU85W0nauYUB9Pxt70/O579NfebCZA0vl66UsVfpMu4ba2TWqcjt/tNWKYVhpF+zgwIblHNhQducqi3bOyira9AzFCiMl4XA4qFmzJpMmTcJms9G+fXsOHz7M66+/ft4wMnr0aGJiYgqep6WlERERQe/evfH39y+12ux2O7GxsfTq1Qt398oxi115VBrt3PKyTPpNWMXOVEit0YLBnSJKucrKQZ9p11A7u0ZVb+eVu4+zfdVa3G0WXr/zCuoGlf4v41C27XzmysbFFCuMhISEYLPZSEpKKrQ9KSmJsLCwc76mVq1auLu7F7ok06xZMxITE8nNzcXDw+Os13h6euLpefbCP+7u7mXygSyr40phl9LOjcICeaJPU174YSuvLtrJ1c3CiCijf5iVgT7TrqF2do2q2M4Oh8Ebsc4JzoZ0rkeD0IAyP2dZtHNRj1esAaweHh60b9+eJUuWFGxzOBwsWbKELl26nPM13bp1Iz4+HofDUbBt586d1KpV65xBROR87ur619o1j8/aoLVrRKTS+mFTApsOp+Lr6ca/r25odjllrth308TExDB58mQ+//xztm3bxgMPPEBmZibDhw8H4M477yw0wPWBBx4gJSWFhx56iJ07dzJ//nxefvllRo4cWXrvQqqEM2vXeLvb+H1PCv87faubiEhlkpvn4I1FOwC494oogn3PvlJQ2RR7zMigQYM4duwYY8aMITExkTZt2rBw4cKCQa0HDhzAav0r40RERLBo0SIeeeQRWrduTe3atXnooYd48sknS+9dSJURGVKNp65rytjvtvDKj9u5snENIkOqmV2WiEip+fL3/RxIySLE15N7utc3uxyXKNEA1lGjRjFq1Khzfm/p0qVnbevSpQu///57SU4lcpahl9Vj4eZEVu05zmPfbGDmfV2wVcJJgESk6kk9Zee9n3cBENOrMT4eZX6fSblQuSa3lyrhzOWaah421uw/wWcr9ppdkohIqfhwaTwns+w0rOnLwA6VazG8C1EYkQopIsiHZ65vDsDri3YQfzTD5IpERC7NoRNZfLZiHwBP921a6RbDu5Cq806l0rmjUwTdG4WQk+fgsW82kJfvuPiLRETKqTcW7SA3z0GXqGB6NKlpdjkupTAiFZbFYuHVW1vj5+lG3MGTTFq2x+ySRERKZNOhVObGHQHg6b7NsFSxaaYVRqRCCw/0Zkw/5+Wat2N3si2haLP9iYiUF4Zh8NKCrQDc3LY2reqU/QRn5Y3CiFR4t7WvQ89modjzDWK+3kBuni7XiEjF8fP2o/y+JwUPNyuP9m5sdjmmUBiRCs9isfDyLS2p7uPOtoQ03j99W5yISHlnz3cw/kfnQrPDu0VSp3rVXOZCYUQqhZp+Xvy3fysAPly6m7iDJ80tSESkCKavPkD80QyCqnnw4FWVf9r381EYkUrj+ta1uDE6nHyHwaNfx5Ftzze7JBGR80o9Zeft2J0APNKzEQHeVWsxwL9TGJFK5YWbWlDTz5PdxzJ5beEOs8sRETmvCb/Ec+L0BGd3dKprdjmmUhiRSiXQx4NXb20NwJQVe1m5O9nkikREzrb/eGbB7NHPXN+sSk1wdi5V+91LpdSjac2C3zIe/2Yj6dl2kysSESnslR+3Y8836N4ohKsa1zC7HNMpjEil9Oz1zagb5MPhk6d44futZpcjIlJg9d4UftyciNUCz17fvMpNcHYuCiNSKVXzdOPNgdFYLPDN2kMs3pJodkkiIjgcBi/+4PwF6fZOdWkS5mdyReWDwohUWh0jg7j3iigARs/eRHJGjskViUhVN2f9YTYdTsXX042YXlVzgrNzURiRSi2mV2OahvlxPDOXp2dvwjAMs0sSkSoqIyePVxc6JzgbdXVDQnw9Ta6o/FAYkUrN083GWwPb4G6zsHhrErPWHjK7JBGpoj78JZ6j6TnUC/ZheLdIs8spVxRGpNJrHu5PTK8mAIz7fisHU7JMrkhEqpoDx7P4ZJnzVt5nr2+Op5vN5IrKF4URqRLuvSKKjpHVycjJI+brOPIdulwjIq7z8oJt5OY7uLxhCD2b1TS7nHJHYUSqBJvVwlsD2+Dr6caf+04w6bc9ZpckIlXEyvhkFm5JxGa18NwNupX3XBRGpMqICPJhbL/mALwVu4MtR1JNrkhEKru8fAcvnL6V9/8661be81EYkSrltvZ16NMiFHu+wSMztZieiJSt6X8eZHtiOoE+7jyiW3nPS2FEqhSLxcLLN7cixNeTnUkZWkxPRMrMicxc3lzs/D/mkZ6NCfTxMLmi8kthRKqcYF9PXr/tr8X0lu06ZnJFIlIZvRm7g5NZdpqE+jGkc9VelfdiFEakSurRtCZDL6sHwGPfbOBEZq7JFYlIZbL5cCpf/XEAgHE3tajyq/JejFpHqqyn+zajQY1qJKXl8PQczc4qIqXDMAzGfrcFw4B+0eFcFhVsdknlnsKIVFneHjbevb0t7jYLP25O5BvNzioipWDO+sOs3X8CHw8bT/dtanY5FYLCiFRpLWsH/DU763db2H880+SKRKQiS8+2M/7Hv9afqRXgbXJFFYPCiFR5914RRaf6QWTm5vPwzDjy8h1mlyQiFdR7S3ZxLD2H+iHVuPvy+maXU2EojEiVZ7NaeHtQG/y83Fh/4CTv/RxvdkkiUgHFH03nsxX7ABjTT+vPFIfCiAhQO9Cbl25uBcAHP+/iz30pJlckIhWJYRg8N3cLeQ6Dns1q0qOJ1p8pDoURkdNujA7nlna1cRjw8Iw4Uk/ZzS5JRCqI7zYcYdWe43i6WRnbr4XZ5VQ4CiMif/PCTS2pG+TD4ZOneHbuZt3uKyIXlZZt57/ztwHw76sbEhHkY3JFFY/CiMjf+Hq68e7tbbBZLXy/4Qiz1x02uyQRKefeWryTY+k5RIVUY8QVUWaXUyEpjIj8Q9u61Yk5vaDVmHmb2Zes231F5Nw2H07li1X7AGfPqgatlozCiMg53H9lAzqfvt33oRnryc3T7b4iUpjDYfDcvM04DLihdS0ubxRidkkVlsKIyDmcud03wNudDYdSeSt2p9kliUg58/Wag6w/cJJqHjaevb652eVUaAojIucRHujNq7c6b/ed+Oture4rIgWOZ+TwykLnTKuP9GpMWICXyRVVbAojIhdwbctaBUt/PzJzA8kZOSZXJCLlwUsLtnEyy07TMD/u6hppdjkVnsKIyEU8d0NzGof6kpyRw6Nfb8Dh0O2+IlXZyvhkZq87jMUC429phZtNP0ovlVpQ5CK83G28f0c7PN2s/LrzGFNW7DW7JBExSbY9n2fnbgbg/zrXo23d6iZXVApy0ql1YrWpJSiMiBRBkzA/nrvBOUDt1YXb2XjopLkFiYgpPlq6mz3JmdTw8+Txa5uYXc6lyTgKP43D7f1oOu37AI5uM60UhRGRIhrSuS7XtgjDnm8watp60rI1XbxIVRJ/NIOPlu4G4Pl+LfD3cje5ohJK2Qs/xMDbLWH5W1hy0kj3rIUl+4RpJSmMiBSRxWLh1VtbUzvQmwMpWYyevUnTxYtUEYZh8MycTeTmO+jRpAZ9W4WZXVLxHVoL39wF77eDNZ9Cfg7U7kDebV/wc7PxGHW7mlaawohIMQT4uPP+4La4WS3M35jA9NUHzS5JRFzgm7WH+GNvCl7uVl64qSUWi8XskorG4YDt82HKdfDJ1bBlDhgOaHAN3DUf7vkJo0lfsJgbB9xMPbtIBdSubnUe79OE8T9uZ9z3W2hbN5BmtfzNLktEysjR9Gz++8NWAB7p2bhiLISXkw5x0+CPjyHFeWkJqzu0GgBdRkJYS3Pr+weFEZESGNE9ilV7jrN0xzFGTVvHd6Mup5qn/jmJVEbjvttKWnYeLWv7c/fl9c0u58JS9sLqybD+f5CT5tzmGQAdhkPn+8A/3Nz6zkP/e4qUgNVq4c0B0fR9bxm7j2Xy3LzNvDWwjdlliUgpW7wlkfmbErBZnWPGyuWcIg4H7P4Z/vwEdi4ETo9lC24Ine+H6DvA09fUEi+mRK06YcIEIiMj8fLyonPnzqxeXbT7k2fMmIHFYqF///4lOa1IuRLs68m7t7fFaoHZ6w7z9RqNHxGpTNKy7Tw3zzmnyL1XRNEiPMDkiv7h1AlY+QF80B6+uhV2/ggYzvEgQ2bByD+h04hyH0SgBGFk5syZxMTEMHbsWNatW0d0dDR9+vTh6NGjF3zdvn37eOyxx+jevXuJixUpby6LCiamV2MAxszbzPbENJMrEpHSMn7BdpLScqgfUo2HrmlkdjlOhgEH/oA598ObTWHxM5CyBzz9nb0go9bA0NnQqBdYy2EvznkUu9K33nqLESNGMHz4cJo3b87EiRPx8fFhypQp531Nfn4+Q4YMYdy4cURFRV1SwSLlzYNXNeSKxjXItjt48Kt1ZOTkmV2SiFyi3/ccZ/rqA4Bzyncvd5u5BZ064RyM+lFXmNIbNkyHvGwIbQk3vAOPbofrXoWQchKaiqlYY0Zyc3NZu3Yto0ePLthmtVrp2bMnq1atOu/rXnjhBWrWrMndd9/NsmXLLnqenJwccnL+WpAsLc3526bdbsduL72Jps4cqzSPKWerCu382i0tuOnDVew5lsnobzfw5m2tTLn1ryq0dXmgdnYNs9o5257PU99uBGBQhzq0j/A35+/acGDZtwzrhq+wbJ+PJd/5c9Fw88ZofjOOdndihLeHM//XlLDGsmznoh6zWGEkOTmZ/Px8QkNDC20PDQ1l+/bt53zN8uXL+fTTT4mLiyvyecaPH8+4cePO2r548WJ8fEr/lqrY2NhSP6acrbK38+0R8P4WG99vTMQ74zDdQs2bEK2yt3V5oXZ2DVe389x9VvYdtxLgbtDWso8FC/a59Pw+OUlEpKygbspyfHKTC7anekWwP6QHB6t3Ic9WDTYchQ0/ltp5y6Kds7KyirRfmd5Nk56eztChQ5k8eTIhISFFft3o0aOJiYkpeJ6WlkZERAS9e/fG37/05nOw2+3ExsbSq1cv3N0r6LS+FUBVamfP5Xt5bdEu5h5wZ3CfTrQId+38I1Wprc2kdnYNM9p53YGTLP3deVPG64Pa0aNJDZecl1MnsWybh3XT11gP/VGw2fD0x9HyNhzRg/EJi6aZxUKzUj51WbbzmSsbF1OsMBISEoLNZiMpKanQ9qSkJMLCzp4ad/fu3ezbt49+/foVbHM4HM4Tu7mxY8cOGjRocNbrPD098fT0PGu7u7t7mXwgy+q4UlhVaOf7r2zEugOp/LTtKP+ZuZHvR11OgI/r33NVaOvyQO3sGq5q52x7PqPnbsEw4JZ2tendsozn5LBnw65FsGkW7FzknJ4dnLOhRl0F0YOxNLsBm7s3rhixUhbtXNTjFSuMeHh40L59e5YsWVJwe67D4WDJkiWMGjXqrP2bNm3Kpk2bCm179tlnSU9P59133yUiIqI4pxcp96xWC28MiOaG95dzICWLR7+JY9LQDlitFWTqaJEq7O3Ynew5lklNP0/G3tCibE6Snwd7f4XN38K27/+amAygZnPnnCCtBoB/rbI5fzlV7Ms0MTExDBs2jA4dOtCpUyfeeecdMjMzGT58OAB33nkntWvXZvz48Xh5edGyZeEpZwMDAwHO2i5SWQT6ePDRkPbcOnElP207ysTfdvPgVQ3NLktELmDdgRNMXrYHgJdvblW6PZr5ebDvN+e6MNt+gFMpf33Pvw60uhVa3gZhrf4ajFrFFDuMDBo0iGPHjjFmzBgSExNp06YNCxcuLBjUeuDAAawV6N5mkbLQqk4AL9zYgqdmb+KNRTtoUyeQrg2LPm5KRFwn257P499swGHALW1r07N56MVfdDH2bGcPyLbvnQvV/T2A+ARD85ucPSARl1Wo+UDKSokGsI4aNeqcl2UAli5desHXTp06tSSnFKlwBnWMYM3+E8xae4h/T1/P/P90JyzAy+yyROQf3o7dye5jmdTw82RMv+YlP1B2KsT/5Oz92LUYcjP++p5PMDTrB837Q2R3sGk1lr9Ta4iUEYvFwos3tWTLkTS2JaQxcto6po+4DA83/RYkUl78uS+FSX+7PBPo41G8A6TsgR0LnVOx718Jjr9NeugXDk2vdz4UQC5ILSNShrw9bHw0pB39PljO2v0neGn+VsbdpPFSIuVBZk4ej369AcOA29rXoVdRLs/Ys2H/CmcPSPxPkLyz8PdDGp8OIP0gvK0uwRSRwohIGYsMqcbbA9twzxdr+HzVflrXCeTW9nXMLkukyntpwTYOpGRRO9D7/JdnDAOO7YA9vzhXxt27DPJO/fV9qxvU7QJNroPG10Lw2dNVyMUpjIi4QM/mofznmka8t2QXT8/ZRJMwP1rWLmcrgIpUIb/sOMq0P5xrz7w+oDX+Xn+7eyb1MOxbBnuWOh/pCYVf7FcLGvZ0PqKuAu9AF1VdeSmMiLjIw9c0YtOhk/yy4xj3f7mW70ddTvVqxbw+LSKX7ERmLk/Ocq49869u9ekakgMbv3EGkH3LnONA/s7Ny9n70aAHNLgGQltU2Vtwy4rCiIiLWK0W3hnUlhsnLGf/8Sz+M2M9U4d3wqYJ0URcx+Hgg6/nc3XWcq72jadn/B5Ye6DwPhYr1GoD9btDVA9nEHHXnXBlSWFExIUCfNz5eGh7bp6wkmW7knl90Q6euq6p2WWJVF7ZqXB4LRz8Ew6tJnf/ap6zp4E7kAek4gwfYa2cd7xEdod6XcBLl1FdSWFExMWahvnz2m2t+ff09Uz8dTctwv3pF13Ga2CIVAW5mZC0BQ6vgyPrnCHkeHyhXTyAU4YHxwNaUqfNNc5ej4hO4OlnTs0CKIyImKJfdDibj6Ty8a97eHzWBuqHVNOAVpHiyEx2Bo/ETZCwwfk4vgsMx9n7BtbDUacjU/bXYG5ybXwiopl23+Vg02235YXCiIhJnujTlO0J6fy68xj3/W8t80Z1I8T37NWqRaoyW342liPrICUejm2DpK3OEJKReO4X+IY65/cIbwe12zu/rhbMB0t28daanfh5urHg9g64KYiUKwojIiaxWS28d0db+k9Ywd7kTB78ah1f3dMZd/0nKVWNYUDGUWfPRvJOSN4FybtwO7adG1IPwsbzvK56fQhrCbWinQNOw1qD39kTl607cIJ3l+wC4MX+LYkI8im79yIlojAiYqIAb3cm39me/hNWsnpvCi98v5UX+2uGVqmE8vMg7TCc3A8n9kHKXucttCm7nV//fR2X087cZ2ZUq4GlRlOo0dR5W21oS6jZDDx9L3rajJw8Hp4RR77D4KY24fRvW7t035eUCoUREZM1rOnHO4PaMOJ/a/jf7/tpWsuPIZ3rmV2WSPHkZDgnB0s99LfHQTh5wPln6qHC67b8k8UKgXWd06kHN4KQRuRVjyI27iA9bxyEu7v7+V97AWPmbS6YZfUFLcVQbimMiJQDPZuH8ljvJry+aAdj522hfnA1ujYMMbssEcjLgYwk52WU9ERn4EhP/NvXCc4ej+zUix/L5uEMHNUjnY+gBhAU5XxUrwduhcdMGXY7uZsXlLj0b9ceYva6w1gt8M7tbQjwLlmgkbKnMCJSTjx4VQN2JqUzL+4ID3y1jrkju1E/pJrZZUll43BATipkHofMY5CV7LwzJTPZ+TzzqPPrjKPOEJJ9sujH9vQH/3AIqHP6EeF8BEZAYD3nNOouWjhu97EMnpu3GYBHejamY2SQS84rJaMwIlJOWCwWXr21NfuPZxF38CR3f/4ncx7spt/m5NwMA3LSnT0Sp044Q8OpE3DqJJxKgayU089PnP46BbKOO7828ot3LpuH8y4V35rOQOEXdvrP018H1HF+7eVfFu+02LLt+Yz8ah1Zufl0bRDMgz0aml2SXITCiEg54uVuY9Kd7bnpgxXsOZbJqGnr+OyujroNsTKyZzvDRE6a85F9jj+zU529GNmpfz3PTnUGj+zUc8+pUVQeflAtGKrVAJ+Qv76uVtMZOqrVcP7pGwre1SvUWiwvzd/G9sR0gqt58M6gNlpyoQJQGBEpZ2r6eTH5zg4MmLiKZbuSefGHrYzTwLvyweFw3vWReQK/U4exHF4DeVnObTnppx8ZpwPG6ecF3/vbtpx0yM8tnZpsHs6w4BXo/NO7unMVWe8g8DnzPAh8gv/2CDprfEZl8eOmBP73+34A3hrUhpr+WlOmIlAYESmHWtYO4O1B0dz/5To+X7Wf+iHVuKtbfbPLqtjyck/3OJzuXSj4+h89EgVfp5/9yE0HnMuaXA2wvRTq8vR3TkXu6ef82sv/H38GnH4EOrd5Bf61zTvQuaJsBeq1KEsHU7J44lvnpCT3X9mAKxvXMLkiKSqFEZFy6tqWtXjy2qa8unA7L/ywlYggH65pdvaETlXKmXESBWMiUiDrxF9jIwrGTZw4PZbi5F+XNOxZpVeG1Q27xRN332Asnn6ng8PpQOHh+1ewKAgZvqef/2Obh5/LBnRWdtn2fB74ai3p2Xm0qxvIo70bm12SFIPCiEg5dv+VUew/nsmMPw/y7+nr+fq+LpVrDRvDcAaFzGP/ePztTo+s487nWacfDvulndPD7x+9Dv5n90oUfP3PUOEPnr7kGTZ+/PFH+vbtW+L5L6R0jft+K5sPpxFUzYMPBrfTTMYVjMKISDlmsVh4sX9LDp04xfL4ZO7+/E/mjuxGrQBvs0u7sPw8Z5gomJMi4fRcFUmQnvTXvBWZR0s2dsLN6/Q4iCDnmAifoL+NmQg8/fXf/zx9mcPTH2yl8N+e/RIDkZSqb9ceYvrqA1gs8O7tbQgPLOf/PuQsCiMi5Zy7zcqEIe247aOV7Dqawd1T1/D1/V3w9TTpn6/D4QwRBTNsHoS0I86Jr9KOOB8ZicW708PDD3xrnL6bo4ZzkGW1GlAtxHmnh88/BmB6aG0RcdqemMYzczcB8PA1jeneSONEKiKFEZEKIMDbnSl3deTmD1ewNSGNkV+t45NhHcqmK9ownOMxTux1riFyYp9zSu+T+09P7X2oaL0ZFpvztlC/sL8evqH/eJwOH+76TVaKLy3bzgNfriPb7uDKxjX499WaT6SiUhgRqSAignz4ZFhH7pj0O7/uPMbTszfx2m2tsZT0ToqsFDgef/qx2/lnyh5n+MhJu/BrLVbw+/tMm7XBv45z9s0zj2o1wGorWW0iF2EYBk98s5G9yZmEB3jxzqA2WDWfSIWlMCJSgbSJCOSDwW0Z8cUavll7iFqB3sT0usBdA4bh7Mk4th2O7YDkHaeXZ9/pHAx6IX7hf60hEljXuXZIYF3nwy+8dMZeiJTQhF/iWbglEY/TlzGrV/MwuyS5BPrfRKSCuaZZKP/t34qn52zivSW7CA/w4vZOdSHzOJYjcUQdXYjth0WQfDqAnGNp9gL+dSA4CoIbOh9BUVC9vjN46NKJlFM/b0/izdidALxwUwva1q1uckVyqRRGRCoah4PBDe34td7Lwa1/EP7DK+T8nIhn9lHcgFYAh/+2v9XNuSR7jSbOR0hjCGnkDB8eWohPKpbdxzJ4aHochgH/d1ldZxCXCk9hRKQ8MwznOI4j608/4iBhA+Sm0w/++hecfXr3wEgSjWBqtroKW61WUKMZBDcAm+bCkIovPdvOvV+sIT0nj46R1RlzQwuzS5JSojAiUp5kHofDa+HQn3B4jfPr7NSz97N5QmgLHKGt+N++AOYlBpHgGcWnt13BrrW/0ffKvtg0GZdUIg6HwSMzN7D7WCZh/l5MGNIODzdNbFZZKIyImMXhcA4oPfgHHPjD+WfK7rP3s3lCWCsIb3v60QZCmoDNDSswIDePuZ/8QcKBkwz/Yi336+5GqYTe/mknP21LwsPNysSh7anppwXwKhOFERFXybdDwkbYvwL2r4QDq5zrpvxTcCOo0wFqt3f+WbMFuJ3/TgEfDzc+u6sjAyauYtfRDD7aauO63rmEBapnRCqHeXFHeP/neABevrkVbSICzS1ISp3CiEhZyc9zju/Y+yvsW+bs/bBnFt7H3ccZOiI6Ox91OjhnGy2mQB8Pvri7E7d8uJKE1GxG/G8d0+81cZZWkVKyNx0mzN0COFfiva19HZMrkrKg/6lESothOOfv2P0L7Fnq7AH55+Rh3tWhbleo1xXqdYGw1qU2uLRWgDefDWvPrR8uZ9PhNEZ8vobPhnfEy10Tj0nFdOjEKT7ZbsOeb9C7eShP9GlidklSRhRGRC5FVgrs/vn04xdIP1L4+14BENkd6l8BkZc7724pwyXjG9Soxv3N8pm405NVe47zwJdr+XhoBw30kwonPdvOfV+uJyPPQrMwP97WDKuVmsKISHE4HJCwHnb9BPGxzrtd/r4gnM3T2eMR1QOirnT2fLh4SvS6vjDp/9py9xfr+GXHMR6ZGce7t7fBTUuqSwWRl+/gP9PXs/NoBv7uBh//X1uq6ZJjpaa/XZGLycmAPb/AzoWwc7Fzxdq/q9kcGl4DDa6Gul3KxcylnSKD+HhoB0Z8vob5mxLw9rDx2q2t9ZullHuGYfDcvM38suMYnm5W7mmaS60A3TlT2SmMiJxLeiLsWADb58Pe3wqvUuvh5+z1aNQLGvZ0LhRXDl3ZuAbv3dGWkdPWMWvtIXw8bIy7sUXJF9YTcYEJv8QzffVBLBZ4e0Br7PvWmF2SuIDCiMgZx3fDtu9h+w/OScf+rnokNL4OmlzrHIB6gVtty5NrW4bx5oBoHvk6ji9W7cfNauW5G5opkEi5NGvtId5Y7FxzZtyNLejVvCYL9plbk7iGwohUbcd2wNbvYOs8SNpU+Hu1O0DT652PkMZQQX+A929bm5y8fJ78dhNTVuzFZoWn+yqQSPmybNcxnvp2IwD3XRnFnV0isdvtJlclrqIwIlVPcjxsmQ2bv4Vj2//abrFB/e7QrB806Qv+4ebVWMoGdaxLvgOenrOJycv2YrVYeOq6pgokUi5sOZLKA1+uI89hcGN0OE/2aWp2SeJiCiNSNZw8+FcASdjw13arOzToAc1udPaAlGDCsYpicOe65BsGz83dzMe/7cFqtfBEnyYKJGKqvcmZDJuymoycPC6LCuL1ARpoXRUpjEjldeqk8/LLxq9h//K/tltszgDS4hZo2tc5EVkVMfSyehiGwZh5W/ho6W4MA568VoFEzJGQeor/++QPkjNyaV7Ln4+HdsDTTZP0VUUKI1K55Nsh/ieIm+a8FbfgLhiLc9Kxlrc6e0GqBZtappnu7BJJvsNg3PdbmfjrbnLzHBrUKi6XkpnL0E9Xc/jkKeqHVOPzf3UiwFvrKVVVCiNSOSRuhg3TYeNMyDz21/YazSB6ELQaUG5vwTXD8G71cbNaeG7eFqas2Etufj4v3NhS3ePiEhk5edz12Wrij2YQ5u/F/+7uRA0/T7PLEhMpjEjFdeokbPoG1v+v8DiQajWg9SDnI6xVhb0LpqwN7RKJp5uNJ2dv5MvfD5Bjd/DKra2xKZBIGcq25zPi8zVsPJRKUDUPvrynE3Wq+5hdlphMYUQqFsNwLkC37gvneJC8bOd2qzs0uQ7aDHHOhlpKi89VdgM7RuDhZiXm6zi+WXuI3HwHbwyIxl1Tx0sZyLbnM+KLNazac5xqHjamDu9Iw5p+Zpcl5YDCiFQMWSnOcSBrp8LxXX9tr9kc2g519oJU4XEgl6J/29p4uFn5z/T1zIs7QmZOHh8MbqfVfqVU5eTlc/+Xa1m2KxkfDxtT/9WJ1nUCzS5LyokS/fozYcIEIiMj8fLyonPnzqxevfq8+06ePJnu3btTvXp1qlevTs+ePS+4v0gBw4D9q+DbEfBmU1j8jDOIePhCu2FwzxJ4YCV0eVBB5BL1bVWLj4e2x9PNyk/bjnLnp6tJy9aEU1I6cvMcPPjlOpbuOIaXu5Upd3WkY2TlvY1eiq/YYWTmzJnExMQwduxY1q1bR3R0NH369OHo0aPn3H/p0qXccccd/PLLL6xatYqIiAh69+7N4cOHL7l4qaRyMmDNFJh4OXx2LWz6GvJznCvg3vAOPLodbnwP6nTQeJBSdE2zUL74Vyf8PN1YvS+F2z/+nWPpOWaXJRWcPd/BqGnrWLL9KJ5uVqYM68hlUfrlQQordhh56623GDFiBMOHD6d58+ZMnDgRHx8fpkyZcs79v/rqKx588EHatGlD06ZN+eSTT3A4HCxZsuSSi5dKJjkefnwS3moGPzwCSZvBzRva/h+M+Bnu+w06DAdPXWMuK52jgplx32WE+HqwNSGNARNXcjAly+yypILKyctn5FfrWLw1CQ83K5Pv7EDXhiFmlyXlULHGjOTm5rJ27VpGjx5dsM1qtdKzZ09WrVpVpGNkZWVht9sJCjp/F11OTg45OX/9RpaWlgaA3W4v1bUKzhxL6x+UrQu2s+HAsmcp1j8nYd3901+bq9fH0f5fOFrfAd6Bzo15eS6otmIrjc904xo+TL+nI3dNXcu+41nc8uEKJg9tR4tw/9Iqs8LT/x0Xdyo3n1Ez4vht13E83Kx8eEc0XeoHFqvN1M6uUZbtXNRjWgzDMIp60CNHjlC7dm1WrlxJly5dCrY/8cQT/Prrr/zxxx8XPcaDDz7IokWL2LJlC15eXufc5/nnn2fcuHFnbZ82bRo+ProFrDKw5ecQkbKMqGOx+OUkAGBgIcm/NXtq9OKYX0uw6I4OM53MgYnbbSRkWfCwGgxv7KB59SL/dyFVWHY+TN5uIz7N+dm5p6mDJgH67FRFWVlZDB48mNTUVPz9z/8LjUvvpnnllVeYMWMGS5cuPW8QARg9ejQxMTEFz9PS0grGmlzozRSX3W4nNjaWXr164e6uW0HLSqF2PpWMde0nWNd9jiX7JACGpx+O6ME42t9NcFAUuppccqX9me6XbWfUjA2s3J3CJzvdeKFfMwZ20ORx+r/j/NJO2bn7f+uIT0ulmqeNT4a2o0O9ki25oHZ2jbJs5zNXNi6mWGEkJCQEm81GUlJSoe1JSUmEhYVd8LVvvPEGr7zyCj/99BOtW7e+4L6enp54ep49G5+7u3uZfCDL6rjyl4CsfXgt+DfWrXPBcfpyS1AUdL4fS5vB2Dz90I2kpae0PtNB7u5MHd6Zp2ZvZPa6wzwzbyuJ6bnE9Gqs6ePR/x3/dCw9h7umrmXLkTQCvN354l+diI4IvOTjqp1doyzauajHK1Y/uIeHB+3bty80+PTMYNS/X7b5p9dee40XX3yRhQsX0qFDh+KcUioyw4DdP2ObditX7RiDdfMsZxCp1w1unwaj1kDn+zQgtZzzcLPy5oBo/nNNIwDe/zmeUdPXcyo33+TKpDzZl5zJrR+tZMuRNEJ8PZhx72WlEkSkaij2ZZqYmBiGDRtGhw4d6NSpE++88w6ZmZkMHz4cgDvvvJPatWszfvx4AF599VXGjBnDtGnTiIyMJDExEQBfX198fX1L8a1IuZGfB1vnwop3IHETVsCBFVr0x9rtPxDe1uQCpbgsFgsxvRpTJ9CbZ+ZuYv7GBA6mZDFpaAfCAs5/yVWqho2HTjL8sz85nplLRJA3X/yrM/VDqpldllQgxQ4jgwYN4tixY4wZM4bExETatGnDwoULCQ0NBeDAgQNYrX91uHz00Ufk5uZy2223FTrO2LFjef755y+teilf7NkQ9yWseA9O7nduc/chv81QlmQ2pkf/YVjV1VqhDewYQb1gH+7/ci0bD6Vy4wfLmXxnB/0GXIUt3XGUB79aR1ZuPi1r+/PZXVr0ToqvRANYR40axahRo875vaVLlxZ6vm/fvpKcQiqS7DRY8yms+hAyT09+5xMMne+HjvfgcPfj1IIF5tYopaZzVDDfjbqcuz//k51JGQz8eBWv3daam9rUNrs0cbFv1hxk9OxN5DkMujcK4aP/a4+vp1YZkeLTp0ZKLvM4/PER/DEJclKd2wIioOu/nevFeJy+DVtzBFQ6EUE+fPtAVx6eEceS7Ud5aEYccQdP8nTfZlpkrwpwOAxeW7SDib/uBqB/m3Beuy0aDzf93UvJKIxI8aUdgZUfwNrPwH56ds6QxnD5I9BqgFbMrSL8vNyZdGcH3ly8gw+X7uazFfvYfDiVCYPbUdNf40gqq8ycPB6eGUfsVuddlaN6NCSmV2OsVt1dJSWnMCJFd/IgLH8b1v8P8nOd22pFQ/fHoOkNYNVvRVWNzWrhiWubEh0RyGNfb+DPfSe4/v3lfDiknRZCq4QOnzzF3VP/ZHtiOh5uVl7X5TkpJQojcnEn9sOyNyFuGjhOX3Kp2xWueBQaXKPF6oQ+LcJoNMqX+79cy86kDO6Y9DuP9WnCvd2j9BtzJfHHnuOMnLaO5IxcQnw9mXRne9rVLdlkZiL/pDAi53fyIPz22ukQcnqisvpXwJVPQuTl5tYm5U5UDV/mjuzGU99u4rsNR3jlx+2siE/mrYFtdHdFBWYYBp8s28srC7eT7zBoGubHp3d1pHagt9mlSSWiMCJnS0909oSsnfrX5ZioHs4QUu/8k9uJ+Hi48e7tbejSIJhx329h2a5krnt3GW8PiqZ7oxpmlyfFlJ5t54lZG/lxs3N+qJvahDP+llb4eOhHh5QufaLkL1kpzjEhqydD3inntvpXQI9noW5nc2uTCsNisXBHp7q0r1edUdPWsTMpg6Gfrua+K6KI6d0YTzdN/F8R7ExK5/7/rWVPcibuNgtjbmjO/11WT8sASJlQGBGwn4I/JsKyt/+6RbdOJ7j6WYi60tzapMJqHOrHd6Mu58UftvLVHwf4+Lc9LN1xjDcHRtOydoDZ5cl5GIbBl7/v57/zt5GT56BWgBcThrTT+BApUwojVZkjHzZMh19ehrTDzm2hLeGaMdCotwamyiXzcrfx0s2tuKJxDZ6evYkdSen0n7CC/1zTiAeuaqA5ScqZ5Iwcnpy1kSXbnZMXXtG4Bm8PjCbYV2N+pGwpjFRV8Utg8bNwdKvzeUCEsyek1UDdoiulrk+LMDrUq84zczazcEsib8Xu5KdtSbx2W2uahvmbXZ7gnNb9sW82kpyRg4fNylPXNeWurpG6G0pcQmGkqjm6zRlC4n9yPvcKhCseg44jwF0TVUnZCfb15KP/a8d3G47w3NzNbDyUyg3vLWfEFVE8dE0jvNw1lsQMadl2xi/YzvTVBwBoHOrLu7e3pVkthURxHYWRqiLjGCx92XmHjOEAqzt0vs8ZRLx1LVhcw2KxcFOb2nSuH8zY7zazaEsSHy3dzfyNCbx0c0vdceNiS7Yl8cyczSSmZQMwrEs9RvdtpmAoLqcwUtnl5cAfH8Nvr0NOmnNbs37QcxwENzC3NqmywgK8+HhoBxZvSWTsd1s4kJLF0E9Xc2N0OKP7NqVWgOawKEspmbk8/90WvttwBIB6wT68cktrujQINrkyqaoURiorw4Dt852XZE7sdW6rFQ19xkNkN3NrEzmtd4swujYM4c3FO/h85T6+23CE2K1J3H9lA+69IgpvD/2GXpryHQbTVh/gzcU7OJllx2qBe7pH8UjPxmprMZXCSGWUuAkWjoZ9y5zPfUPhmrEQfYcGp0q54+vpxth+Lbi1XR3Gfb+FP/ed4O2fdjLzzwM81bcZ/VrX0twWpWD13hTGfreFbQnOHtKmYX68emtroiMCzS1MBIWRyiXjGPz8Iqz7AjDA5gld/+1cTdfT1+zqRC6oZe0Avr6vCz9sTOCVH7dz+OQp/jN9PZ8s28OjvZtwRaMQhZISOHQii9cW7ii4JOPv5cajvZswpHNd3HRrtZQTCiOVQV6Oc9KyX1+H3HTntha3QM/noXo9U0sTKQ6LxUK/6HB6NQ9l8m97+OjX3Ww8lMqwKavpFBnEY32a0Km+VgMuimPpOUz4JZ5pfxwgN9+BxQK3d6zLY70ba94QKXcURioyw4Cdi2DRaEjZ49xWqw1c+4rWkJEKzcvdxr+vacQdnevy0dLd/O/3/azel8LAj1fRvVEID17VkMuigtRTcg6pp+xM+m03U5bv45Q9H4AuUcE83bcZrepo5lspnxRGKqrkXc5xIfGxzue+oc6ekNa3a1yIVBohvp48d0Nz7ulen/eWxPPNmoMs25XMsl3JREcEcv8VUfRuEYZNE3ORlJbNlBV7mfb7AdJznKtsR0cE8kSfJnRrGGJydSIXpjBS0eSkw6+vwe8fgcPunC+ky0jnfCGefmZXJ1ImagV4M/6WVjxwZQMmLdvNN2sOseHgSR74ah31Q6pxV9dIbm5XG38vd7NLdbn4oxlM/m0Pc9YfJjffAUCTUD8e7d2YXs1D1XskFYLCSEVhGLBlDix6GtITnNsa9YFrx2u+EKky6gb78N/+rXi4Z2OmrtjHF6v2sTc5k7HfbeGVH7dzU5twhnSuV+kvR9jzHfy0NYlpqw+wbFdywfZOkUHcd2UUPZrU1DTuUqEojFQEybtgweOw5xfn8+r14bpXoXEfc+sSMUmIryeP9WnC/Vc1YNaag3z1xwF2Hc1gxp8HmfHnQVrW9qd/m9r0iw4n1L/yLHOwNzmTmX8eZNbagyRn5ALO9Sx7NQvlvisb0L6eZlOWiklhpDyzZ8OyN2D5O85LMjZP6B4D3R7WOjIiOOcouatbfYZ1jWTN/hN89ft+FmxKZPPhNDYfTuOlBdvoXD+IG6Nr07tFKCEV8C6S/cczmb8pgQWbEth8OK1gew0/TwZ2qMOgDnWpG+xjYoUil05hpLza8yv88Aik7HY+b9gL+r4GQVHm1iVSDlksFjpGBtExMogx/XL5YeMRvos7wpr9J/h9Twq/70nhmbmbaF07gKua1KRH05q0rh1QLi9l2PMdbDh4kmW7klmyPalQALFZLXRvFMIdnepyddOauGueEKkkFEbKm8zjzincN0xzPvcNc4aQZjc6+2NF5IKCqnlwZ5dI7uwSyaETWfywMYEfNh5h8+E0NhxKZcOhVN5dsovqPu50iAyifb3qdKhXnZa1A0xZIC7bns+2hDTiDp5kRfxxft9znIzTd8OAM4B0iQqmb6ta9GkRqjlCpFJSGCkvDAM2fQM/PgmnUgALdLwHrnkOvCr3YDyRslKnug/3X9mA+69sQFJaNr/uOMYvO46ybFcyJ7LsxG5NInZrEgAeNitNwvxoFOpL41A/moT60bCmL2EBXqXSA5GX7+DwyVPsTc5k//Estiems/HQSXYkppPnMArtG+jjTreGIVzRKISezRRApPJTGCkPUg85L8nsWux8XrMF9HsXIjqaW5dIJRLq78XAjhEM7BiBPd/BxkMnWbv/RMEjOSOXTYdT2XQ4tdDrLBbngNkwfy/CArwI8vHAy93CkQNWDvy6h2peHjgMg3yHQZ7D+Wdmbh4nMnNJOf04npnL4ROnzgodZwRX86B1nQA6RAbRvVEILcIDNHeKVCkKI2ZyOGDtFIh93jmNu80DrnwSuj0Etqo3X4KIq7jbrLSvF0T7es6p5Q3D4EBKFtsS0tmVlM6OpHR2JWWwNzmT3HwHx9JzOJae84+gYiX2cHyxzuvpZiUyuBqRIT5E1fClde0AWtUJoHagt+YDkSpNYcQsx3fDd/+G/SuczyM6w43vQ40m5tYlUgVZLBbqBVejXnA1rm0ZVrDd4TBIycolMTWbxNRsEtKySc3KJSPbztadu6kRXoecPAOb1YLNasHNasHNZsXLzUawrwdB1Tyo7uNBsK8Hdap7E+rnVS4HzYqYTWHE1Rz5zkXtlrwIeafAvRr0HAsdR2gad5Fyxmq1EOLrSYivJy1r/zV2y263s8C+i759W+Lurl5MkUulMOJKx3bCvJFwaLXzef0r4cb3oHqkqWWJiIiYSWHEFRz5sPJ9+OVlyM8BDz/o/SK0v0u364qISJWnMFLWju2EuQ/A4TXO5w2ucd4pExhhbl0iIiLlhMJIWXHkw6oP4OeXnL0hnv7Q52Vo+3/qDREREfkbhZGycHw3zLkPDv3pfN6wp7M3JKCOuXWJiIiUQwojpckw4M9PIHYM2LPUGyIiIlIECiOlJe0IzBsFu5c4n9e/Am76UGNDRERELkJhpDRsmQPfPwzZJ8HNC3qOg073at4QERGRIlAYuRQ5GbDwSVj/pfN5rTZwyyTNoioiIlIMCiMldXgdfHsPpOwGLND9UbjqKa0pIyIiUkwKI8XlcMDK9+DnF8GRB/61nb0hkZebXZmIiEiFpDBSHKmHYe79sPc35/PmN8EN74BPkKlliYiIVGQKI0W19TvnKrvZJ8HdB657FdoO1S27IiIil0hh5GJyM2HhaFj3ufN5rTZw66cQ0tDUskRERCoLhZELSdgIs/4Fx3cBFuj2H+jxLLh5mF2ZiIhIpaEwci6GAX98DLHPQX4u+NWCmz+GqCvNrkxERKTSURj5p8zjMG8k7PzR+bzxdXDTBKgWbG5dIiIilVSJpgidMGECkZGReHl50blzZ1avXn3B/b/55huaNm2Kl5cXrVq1YsGCBSUqtsztWwETuzmDiM0DrnsN7piuICIiIlKGih1GZs6cSUxMDGPHjmXdunVER0fTp08fjh49es79V65cyR133MHdd9/N+vXr6d+/P/3792fz5s2XXHypceTDr6/D5zdAegIEN4IRP0Pn+3S3jIiISBkrdhh56623GDFiBMOHD6d58+ZMnDgRHx8fpkyZcs793333Xa699loef/xxmjVrxosvvki7du344IMPLrn40uBpP4lt+gD45b9gOCB6MNz3K4S1Mrs0ERGRKqFYY0Zyc3NZu3Yto0ePLthmtVrp2bMnq1atOudrVq1aRUxMTKFtffr0Ye7cuec9T05ODjk5OQXP09LSALDb7djt9uKUfEH58T9z1fbnsOalYrj7kH/taxitb+f0yUrtPFXdmb+z0vy7k3NTW7uG2tk11M6uUZbtXNRjFiuMJCcnk5+fT2hoaKHtoaGhbN++/ZyvSUxMPOf+iYmJ5z3P+PHjGTdu3FnbFy9ejI+PT3FKPi+bI4eeWx7DKy+VNK86/Fl/JBmH/OFQOR3PUgnExsaaXUKVobZ2DbWza6idXaMs2jkrK6tI+5XLu2lGjx5dqDclLS2NiIgIevfujb+/f6mdJ79xNfb9PJmad37KFT6ld1wpzG63ExsbS69evXB310KCZUlt7RpqZ9dQO7tGWbbzmSsbF1OsMBISEoLNZiMpKanQ9qSkJMLCws75mrCwsGLtD+Dp6Ymnp+dZ293d3Uu3oRr3ZkN8Hn19/PVBd4FS//uT81Jbu4ba2TXUzq5RFu1c1OMVawCrh4cH7du3Z8mSJQXbHA4HS5YsoUuXLud8TZcuXQrtD86uoPPtLyIiIlVLsS/TxMTEMGzYMDp06ECnTp145513yMzMZPjw4QDceeed1K5dm/HjxwPw0EMPceWVV/Lmm29y/fXXM2PGDNasWcOkSZNK952IiIhIhVTsMDJo0CCOHTvGmDFjSExMpE2bNixcuLBgkOqBAwewWv/qcOnatSvTpk3j2Wef5emnn6ZRo0bMnTuXli1blt67EBERkQqrRANYR40axahRo875vaVLl561bcCAAQwYMKAkpxIREZFKrkTTwYuIiIiUFoURERERMZXCiIiIiJhKYURERERMpTAiIiIiplIYEREREVMpjIiIiIipFEZERETEVAojIiIiYqoSzcDqaoZhAEVfirio7HY7WVlZpKWlaUXIMqR2dh21tWuonV1D7ewaZdnOZ35un/k5fj4VIoykp6cDEBERYXIlIiIiUlzp6ekEBASc9/sW42JxpRxwOBwcOXIEPz8/LBZLqR03LS2NiIgIDh48iL+/f6kdVwpTO7uO2to11M6uoXZ2jbJsZ8MwSE9PJzw8vNAiuv9UIXpGrFYrderUKbPj+/v764PuAmpn11Fbu4ba2TXUzq5RVu18oR6RMzSAVUREREylMCIiIiKmqtJhxNPTk7Fjx+Lp6Wl2KZWa2tl11NauoXZ2DbWza5SHdq4QA1hFRESk8qrSPSMiIiJiPoURERERMZXCiIiIiJhKYURERERMVenDyIQJE4iMjMTLy4vOnTuzevXqC+7/zTff0LRpU7y8vGjVqhULFixwUaUVW3HaefLkyXTv3p3q1atTvXp1evbsedG/F/lLcT/TZ8yYMQOLxUL//v3LtsBKorjtfPLkSUaOHEmtWrXw9PSkcePG+v+jCIrbzu+88w5NmjTB29ubiIgIHnnkEbKzs11UbcX022+/0a9fP8LDw7FYLMydO/eir1m6dCnt2rXD09OThg0bMnXq1LIt0qjEZsyYYXh4eBhTpkwxtmzZYowYMcIIDAw0kpKSzrn/ihUrDJvNZrz22mvG1q1bjWeffdZwd3c3Nm3a5OLKK5bitvPgwYONCRMmGOvXrze2bdtm3HXXXUZAQIBx6NAhF1de8RS3rc/Yu3evUbt2baN79+7GTTfd5JpiK7DitnNOTo7RoUMHo2/fvsby5cuNvXv3GkuXLjXi4uJcXHnFUtx2/uqrrwxPT0/jq6++Mvbu3WssWrTIqFWrlvHII4+4uPKKZcGCBcYzzzxjzJ492wCMOXPmXHD/PXv2GD4+PkZMTIyxdetW4/333zdsNpuxcOHCMquxUoeRTp06GSNHjix4np+fb4SHhxvjx48/5/4DBw40rr/++kLbOnfubNx3331lWmdFV9x2/qe8vDzDz8/P+Pzzz8uqxEqjJG2dl5dndO3a1fjkk0+MYcOGKYwUQXHb+aOPPjKioqKM3NxcV5VYKRS3nUeOHGlcffXVhbbFxMQY3bp1K9M6K5OihJEnnnjCaNGiRaFtgwYNMvr06VNmdVXayzS5ubmsXbuWnj17FmyzWq307NmTVatWnfM1q1atKrQ/QJ8+fc67v5Ssnf8pKysLu91OUFBQWZVZKZS0rV944QVq1qzJ3Xff7YoyK7yStPN3331Hly5dGDlyJKGhobRs2ZKXX36Z/Px8V5Vd4ZSknbt27cratWsLLuXs2bOHBQsW0LdvX5fUXFWY8bOwQiyUVxLJycnk5+cTGhpaaHtoaCjbt28/52sSExPPuX9iYmKZ1VnRlaSd/+nJJ58kPDz8rA+/FFaStl6+fDmffvopcXFxLqiwcihJO+/Zs4eff/6ZIUOGsGDBAuLj43nwwQex2+2MHTvWFWVXOCVp58GDB5OcnMzll1+OYRjk5eVx//338/TTT7ui5CrjfD8L09LSOHXqFN7e3qV+zkrbMyIVwyuvvMKMGTOYM2cOXl5eZpdTqaSnpzN06FAmT55MSEiI2eVUag6Hg5o1azJp0iTat2/PoEGDeOaZZ5g4caLZpVUqS5cu5eWXX+bDDz9k3bp1zJ49m/nz5/Piiy+aXZpcokrbMxISEoLNZiMpKanQ9qSkJMLCws75mrCwsGLtLyVr5zPeeOMNXnnlFX766Sdat25dlmVWCsVt6927d7Nv3z769etXsM3hcADg5ubGjh07aNCgQdkWXQGV5DNdq1Yt3N3dsdlsBduaNWtGYmIiubm5eHh4lGnNFVFJ2vm5555j6NCh3HPPPQC0atWKzMxM7r33Xp555hmsVv1+XRrO97PQ39+/THpFoBL3jHh4eNC+fXuWLFlSsM3hcLBkyRK6dOlyztd06dKl0P4AsbGx591fStbOAK+99hovvvgiCxcupEOHDq4otcIrbls3bdqUTZs2ERcXV/C48cYb6dGjB3FxcURERLiy/AqjJJ/pbt26ER8fXxD2AHbu3EmtWrUURM6jJO2clZV1VuA4EwANLbNWakz5WVhmQ2PLgRkzZhienp7G1KlTja1btxr33nuvERgYaCQmJhqGYRhDhw41nnrqqYL9V6xYYbi5uRlvvPGGsW3bNmPs2LG6tbcIitvOr7zyiuHh4WHMmjXLSEhIKHikp6eb9RYqjOK29T/pbpqiKW47HzhwwPDz8zNGjRpl7Nixw/jhhx+MmjVrGv/973/NegsVQnHbeezYsYafn58xffp0Y8+ePcbixYuNBg0aGAMHDjTrLVQI6enpxvr1643169cbgPHWW28Z69evN/bv328YhmE89dRTxtChQwv2P3Nr7+OPP25s27bNmDBhgm7tvVTvv/++UbduXcPDw8Po1KmT8fvvvxd878orrzSGDRtWaP+vv/7aaNy4seHh4WG0aNHCmD9/vosrrpiK08716tUzgLMeY8eOdX3hFVBxP9N/pzBSdMVt55UrVxqdO3c2PD09jaioKOOll14y8vLyXFx1xVOcdrbb7cbzzz9vNGjQwPDy8jIiIiKMBx980Dhx4oTrC69Afvnll3P+n3umbYcNG2ZceeWVZ72mTZs2hoeHhxEVFWV89tlnZVqjxTDUtyUiIiLmqbRjRkRERKRiUBgRERERUymMiIiIiKkURkRERMRUCiMiIiJiKoURERERMZXCiIiIiJhKYURERERMpTAiIiIiplIYEREREVMpjIiIiIipFEZERETEVP8P7gVPcHley2YAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Due to the dataset being aligned, we can use the trunk inputs as a grid\n",
    "plt.plot(\n",
    "    trunk_inputs_train[:, 0],\n",
    "    branch_inputs_train[2, :],\n",
    "    label=\"input\",\n",
    ")\n",
    "plt.plot(\n",
    "    trunk_inputs_train[:, 0],\n",
    "    outputs_train[2, :],\n",
    "    label=\"antiderivative\",\n",
    ")\n",
    "plt.legend()\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "class DeepONet1d(eqx.Module):\n",
    "    branch_net: eqx.nn.MLP\n",
    "    trunk_net: eqx.nn.MLP\n",
    "    bias: jax.Array\n",
    "\n",
    "    def __init__(\n",
    "        self,\n",
    "        in_size_branch,\n",
    "        width_size,\n",
    "        depth,\n",
    "        interact_size,\n",
    "        activation,\n",
    "        *,\n",
    "        key,\n",
    "    ):\n",
    "        \"\"\"\n",
    "        For simplicity, branch and trunk MLP are configured similarly\n",
    "        \"\"\"\n",
    "        b_key, t_key = jr.split(key)\n",
    "        self.branch_net = eqx.nn.MLP(\n",
    "            in_size=in_size_branch,\n",
    "            out_size=interact_size,\n",
    "            width_size=width_size,\n",
    "            depth=depth,\n",
    "            activation=activation,\n",
    "            key=b_key,\n",
    "        )\n",
    "        self.trunk_net = eqx.nn.MLP(\n",
    "            in_size=1,\n",
    "            out_size=interact_size,\n",
    "            width_size=width_size,\n",
    "            depth=depth,\n",
    "            activation=activation,\n",
    "            final_activation=activation,\n",
    "            key=t_key,\n",
    "        )\n",
    "        self.bias = jnp.zeros((1,))\n",
    "\n",
    "    def __call__(self, x_branch, x_trunk):\n",
    "        \"\"\"\n",
    "        x_branch.shape = (in_size_branch,)\n",
    "        x_trunk.shape = (1,)\n",
    "\n",
    "        return shape: \"scalar\"\n",
    "        \"\"\"\n",
    "        branch_out = self.branch_net(x_branch)\n",
    "        trunk_out = self.trunk_net(x_trunk)\n",
    "        inner_product = jnp.sum(branch_out * trunk_out, keepdims=True)\n",
    "\n",
    "        return (inner_product + self.bias)[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ec6cf01f421f4e1bb41580ac71bf2f4a",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/10000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "antiderivative_operator = DeepONet1d(\n",
    "    in_size_branch=100,\n",
    "    width_size=40,\n",
    "    depth=1,\n",
    "    interact_size=40,\n",
    "    activation=jax.nn.relu,\n",
    "    key=jr.PRNGKey(0),\n",
    ")\n",
    "\n",
    "optimizer = optax.adam(1e-3)\n",
    "opt_state = optimizer.init(\n",
    "    eqx.filter(antiderivative_operator, eqx.is_array)\n",
    ")\n",
    "\n",
    "def loss_fn(model):\n",
    "    # Full batch training\n",
    "\n",
    "    # Vectorize over both the batches/samples and the query points\n",
    "    predictions = jax.vmap(\n",
    "        jax.vmap(\n",
    "            model,\n",
    "            in_axes=(None, 0),\n",
    "        ),\n",
    "        in_axes=(0, None)\n",
    "    )(branch_inputs_train, trunk_inputs_train)\n",
    "\n",
    "    mse = jnp.mean(jnp.square(predictions - outputs_train))\n",
    "    return mse\n",
    "\n",
    "@eqx.filter_jit\n",
    "def update_fn(model, state):\n",
    "    loss, grad = eqx.filter_value_and_grad(loss_fn)(model)\n",
    "    updates, new_state = optimizer.update(grad, state, model)\n",
    "    new_model = eqx.apply_updates(model, updates)\n",
    "    return new_model, new_state, loss\n",
    "\n",
    "loss_history = []\n",
    "for _ in tqdm(range(10_000)):\n",
    "    antiderivative_operator, opt_state, loss = update_fn(\n",
    "        antiderivative_operator, opt_state\n",
    "    )\n",
    "    loss_history.append(loss)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x743f404eae30>]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.semilogy(loss_history)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(\n",
    "    trunk_inputs_test[:, 0],\n",
    "    branch_inputs_test[0, :],\n",
    "    label=\"input\",\n",
    ")\n",
    "plt.plot(\n",
    "    trunk_inputs_test[:, 0],\n",
    "    outputs_test[0, :],\n",
    "    label=\"gt antiderivative\",\n",
    ")\n",
    "plt.plot(\n",
    "    trunk_inputs_test[:, 0],\n",
    "    jax.vmap(\n",
    "        antiderivative_operator,\n",
    "        in_axes=(None, 0)\n",
    "    )(branch_inputs_test[0, :], trunk_inputs_test),\n",
    "    label=\"prediction\",\n",
    ")\n",
    "plt.legend()\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "predictions_test = jax.vmap(\n",
    "    jax.vmap(\n",
    "        antiderivative_operator,\n",
    "        in_axes=(None, 0)\n",
    "    ),\n",
    "    in_axes=(0, None,)\n",
    ")(branch_inputs_test, trunk_inputs_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1000, 100)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "predictions_test.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "def normalized_l2_error(pred, ref):\n",
    "    diff_norm = jnp.linalg.norm(pred - ref)\n",
    "    ref_norm = jnp.linalg.norm(ref)\n",
    "    return diff_norm / ref_norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "test_errors = jax.vmap(normalized_l2_error)(predictions_test, outputs_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "mean_test_error = jnp.mean(test_errors)\n",
    "std_test_error = jnp.std(test_errors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(Array(0.01071699, dtype=float32), Array(0.02059094, dtype=float32))"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mean_test_error, std_test_error"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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